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Here's a nice modular from which you can assemble anything you want. Courtesy of Charles Esseltine: http://www.geocities.com/origamiguy1971/main.html
You can find the diagrams here: http://web.archive.org/web/20060330001742/w...

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This is called strip origami since it uses strips of paper instead of one single piece of paper. By Froebel Friedrich (1782-1852).
You can find diagrams here: http://highhopes.com/3dstar.html...

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Here's an easy modular 8 point star (also called octagon star or Pinwheel-Ring-Pinwheel) made with 8 square papers, once folded it slides into place. I don't know who made it so credit it due.
You can find the diagrams here: ...

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The Yin-yang paper box is made from 2 circular papers, the folds are curved so it's a bit difficult.
You can find the crease pattern at http://origami.oschene.com/archives/2008/04/06/design-ideas-up-the-yin-yang/...

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An action model made with 8 Tung Ken Lam's jitterbug modules. When twisted it collapses to a little diamond.
You can find the diagrams for this model here: http://hektor.umcs.lublin.pl/~mikosmul/origami/balls.html...

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Here's a very easy icosahedron by Heinz Strobl. For the strips use an A4 format paper and cut it in the middle lengthwise, do so to get 8 strips and then fold strips of 6 squares, the rest is one the video.
You can find the d...

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Here's a flasher, when the thing is opened it should close automatically. By Jeremy Shafer.
You can find the diagrams for this model on Jeremy's website: http://www.barf.cc/diagrams/PDF_diagrams/pdf_diagrams.html...

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Here's a slower version of the omega star by John Montroll, I still had to speed it up a bit, but I did it on the easier parts.
Diagrams over here: http://www.origami.cz/Bin/star.html...

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I had to modify it a bit so it wouldn't need any glue. It's hard, but any experienced origamist can do it.
Diagrams on Yurii and Katrin Shumakov's website: http://library.thinkquest.org/27152/towns/oriville/oriver/practice/05...

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This should look like 3 intersecting diamonds.
Made by Francis Ow (http://web.singnet.com.sg/~owrigami/), you can find the diagrams here: http://members.aol.com/specialfolder/ow_xyzdiamonda.htm...

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A modular origami by Meenakshi Mukhopadhyay http://www.origamee.net
You can find the diagrams for this model here: http://www.geocities.com/mmukhopadhyay/creation/isos.html...

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An easy modular star, flies well too. Made by Carmen Sprung: http://www.origamiseiten.de
You can find the diagrams for this model at: http://www.origamiseiten.de/diagrams/o_menno_g.html...

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Here's how to make an origami star box, it's a modular origami. The assembly is not quite right, but it holds if not tossed too hard.
Made by Robin Glynn: http://glynnorigami.co.uk/
You can find the diagrams for this model...

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A box with a lid, a single square paper, do it yourself. Made by Marc Vigo: http://www.lsi.upc.edu/~marc/hobbies.html
You can find the diagrams for this model on Marc's website: http://www.lsi.upc.edu/~marc/Origami/model6.htm...

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Here's how to make a six pointed star out of any A4 format paper. Doesn't fly well though. Enjoy. Made by David Petty: http://www.davidpetty.me.uk
Diagrams on David's website: http://www.davidpetty.me.uk/mom/mom109.htm...

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A nice origami star, just before the joyous commercialized holiday. By František Grebeníček: http://www.origami.cz/
You can find the diagrams here: http://www.origami.cz/Compose/hvezda.html...

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Here's an easy modular origami, you can assemble 18 for a truncated tetrahedron like this, 24 for a cuboctahedron, 30 for a dodecahedron, 48 for a rhombicuboctahedron and so on......